Balakrishnan, Jennifer2023-08-152023-08-152022-10-27J. Balakrishnan. 2022. "A tale of three curves" https://doi.org/10.14760/SNAP-2022-010-ENhttps://hdl.handle.net/2144/46558In this snapshot, we give a survey of some problems in the study of rational points on higher genus curves, discussing questions ranging from the era of the ancient Greeks to a few posed by mathematicians of the 20th century. To answer these questions, we describe a selection of techniques in modern number theory that can be used to determine the set of rational points on a curve.en-USThis item's license is described as Attribution-ShareAlike 4.0 International.https://creativecommons.org/licenses/by-sa/4.0/Conference materials2023-02-1310.14760/SNAP-2022-010-EN803492